Given an integer \(k\ge 3\) and a group G of odd order, if there exists a 2-(v, k, 1)-design and if v is sufficiently large then there is such a design whose automorphism group has a subgroup isomorphic to G. Weaker results are obtained when |G| is even.

中文翻译：

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$$\lambda =1$$ λ = 1 设计的自同构子群

给定一个整数\(k\ge 3\)和一个奇数阶的群G，如果存在一个 2-( v ,  k , 1)-设计并且如果v足够大，那么有这样一个设计，其自同构群有与G同构的子群。当 | 时获得较弱的结果 G | 甚至。